Riemannian Geometry

by JasonJo
Tags: geometry, riemannian
JasonJo is offline
Nov27-08, 08:58 PM
JasonJo's Avatar
P: 431
Hey folks,

Is it generally true that for US Math PhD programs, Riemannian geometry is a 2nd year grad course? I was looking at JHU, one of the PhD programs I will be applying to, and they don't require you take any prereq grad courses. And the cirriculum seems to be the standard RG cirriculum: metrics, Jacobi fields, curvature, sectional curvature, Hopf-Rinow, etc.

Some schools require that your first year of grad school is essentially Algebra I, II, Analysis I, II and Topology (with a mix of Geometry via differential forms, deRham cohomology, differentiable manifold, vector fields, tensors, lie derivatives, and so on) I and II.

What are your experiences with this? I don't see why it would be a first year course as not all students are going to be pursuing RG in graduate school anyway while all grad students should know basic grad level analysis, algebra and topology/geometry.
Phys.Org News Partner Science news on Phys.org
Internet co-creator Cerf debunks 'myth' that US runs it
Astronomical forensics uncover planetary disks in Hubble archive
Solar-powered two-seat Sunseeker airplane has progress report

Register to reply

Related Discussions
Riemannian Geometry "plan" Science & Math Textbook Listings 0
how do you prove immersion? (Basic Riemannian Geometry) Calculus & Beyond Homework 2
Coordinates in Riemannian Geometry Differential Geometry 1
Riemannian Geometry Differential Geometry 2
Some basic problems in Riemannian Geometry Differential Geometry 17